A theoretical comparison of macroscopic and microscopic modeling of singlet oxygen during Photofrin and HPPH
mediated-PDT

Baochang Liu; Michele M. Kim; Timothy C. Zhu

doi:10.1117/12.2002489

13 March 2013 A theoretical comparison of macroscopic and microscopic modeling of singlet oxygen during Photofrin and HPPH mediated-PDT

Baochang Liu, Michele M. Kim, Timothy C. Zhu

Author Affiliations +

Proceedings Volume 8568, Optical Methods for Tumor Treatment and Detection: Mechanisms and Techniques in Photodynamic Therapy XXII; 856805 (2013) https://doi.org/10.1117/12.2002489
Event: SPIE BiOS, 2013, San Francisco, California, United States

Abstract

Mathematic models were developed to simulate the complex dynamic process of photodynamic therapy (PDT). Macroscopic or microscopic modeling of singlet oxygen (¹O₂) is particularly of interest because it is the major cytotoxic agent causing biological effects during PDT. Our previously introduced macroscopic PDT model incorporates the diffusion equation for the light propagation in tissue and the macroscopic kinetic equations for the production of the ¹O₂. The distance-dependent distribution of ³O₂ and reacted ¹O₂ can be numerically calculated using finite-element method (FEM). We recently improved the model to include microscopic kinetic equations of oxygen diffusion from uniformly distributed blood vessels and within tissue. In the model, the cylindrical blood capillary has radius in the range of 2-5 μm and a mean length of 300 μm, and supplies oxygen into tissue. The blood vessel network is assumed to form a 2-D square grid perpendicular to a linear light source. The spacing of the grid is 60 μm. Oxygen can also diffuse along the radius and the longitudinal axial of the cylinder within tissue. The oxygen depletion during Photofrin-PDT PDT can be simulated using both macroscopic and microscopic approaches. The comparison of the simulation results have reasonable agreements when velocity of blood flow is reduced during PDT.

Citation Download Citation

Baochang Liu, Michele M. Kim, and Timothy C. Zhu "A theoretical comparison of macroscopic and microscopic modeling of singlet oxygen during Photofrin and HPPH mediated-PDT", Proc. SPIE 8568, Optical Methods for Tumor Treatment and Detection: Mechanisms and Techniques in Photodynamic Therapy XXII, 856805 (13 March 2013); https://doi.org/10.1117/12.2002489

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